<div dir="ltr"><p class="gmail-MsoTitle" style="text-align:center"><span style="font-size:18pt;font-family:"Times New Roman",serif">SEMINARIO
DI MATEMATICA<span></span></span></p>
<p class="gmail-MsoTitle"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">Lunedì 20 novembre 2017</span><span style="font-size:16pt;font-family:"Times New Roman",serif"><span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">ore 14:00<span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:"Times New Roman",serif">Scuola Normale Superiore<span></span></span></u></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">Pisa<span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Aula Bianchi<span></span></span></p>
<p class="MsoNormal"><b><u><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration-line:none"> </span></span></span></u></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span class="gmail-apple-converted-space"><b><span style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"> </span></b></span><b><span style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Jaeyoung Byeon <span></span></span></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span style="font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">(KAIST) </span></i><b><i><span style="font-family:"Times New Roman",serif"><span></span></span></i></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span style="font-family:"Times New Roman",serif"><span> </span></span></i></p>
<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:"Times New Roman",serif">terrà un
seminario dal titolo:<span></span></span></p>
<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<h1 align="center" style="margin-top:0cm;text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><u style="background-color:rgb(243,243,243)"><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:windowtext">“</span><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif">Single peak solutions to nonlinear
Neumann problems without a nondegeneracy</span><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:windowtext">”</span><span lang="EN-US" style="font-family:"Times New Roman",serif"><span></span></span></u></h1>
<p class="MsoNormal" align="center" style="text-align:center"><br></p>
<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:"Times New Roman",serif">Abstract:<span></span></span></b></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US"> </span></i></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US">There
have been enormous studies on singularly perturbed nonlinear elliptic problems
with the Neumann boundary condition. As for a single peak solution which
concentrates near a point on the boundary of a given domain, its existence
for a critical point of the mean curvature and its nonexistence for the
regular point of the mean curvature were known only when a certain
nondegeneracy holds.<span></span></span></i></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US">In
this talk I would like to explain a purely variational approach to prove the
same results without the nondegeneracy.<span></span></span></i></p>
<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:"Times New Roman",serif"><span> </span></span></b></p>
<p class="MsoNormal" style="text-align:justify"><span lang="EN-US" style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif">Tutti gli interessati sono invitati a
partecipare.<span></span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif">Classe di Scienze Matematiche e Naturali<span></span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
<br><div class="gmail_quote">---------- Forwarded message ----------<br>From: <b class="gmail_sendername">Valeria Giuliani</b> <span dir="ltr"><<a href="mailto:valeria.giuliani@sns.it">valeria.giuliani@sns.it</a>></span><br>Date: 2017-11-14 13:05 GMT+01:00<br>Subject: avviso seminario di matematica prof. Jaeyoung Byeon (20.11.2017)<br>To: <a href="mailto:professori.sci@sns.it">professori.sci@sns.it</a>, "professori.contratto.sci" <<a href="mailto:professori.contratto.sci@sns.it">professori.contratto.sci@sns.it</a>>, <a href="mailto:ricercatori.sci@sns.it">ricercatori.sci@sns.it</a>, <a href="mailto:ricercatori.td.sci@sns.it">ricercatori.td.sci@sns.it</a>, Borsisti <<a href="mailto:borsisti@sns.it">borsisti@sns.it</a>>, <a href="mailto:assegnisti.sci@sns.it">assegnisti.sci@sns.it</a>, Perfezionandi Scienze <<a href="mailto:phd.sci@sns.it">phd.sci@sns.it</a>>, "phd.extra.sci" <<a href="mailto:phd.extra.sci@sns.it">phd.extra.sci@sns.it</a>>, Studenti Scienze <<a href="mailto:allievi.sci@sns.it">allievi.sci@sns.it</a>>, "allievi.extra.sci" <<a href="mailto:allievi.extra.sci@sns.it">allievi.extra.sci@sns.it</a>><br>Cc: Classi <<a href="mailto:classi@sns.it">classi@sns.it</a>>, Sito SNS <<a href="mailto:sitosns@sns.it">sitosns@sns.it</a>>, Portineria Carovana <<a href="mailto:portineria.carovana@sns.it">portineria.carovana@sns.it</a>><br><br><br><div dir="ltr"><p class="gmail-m_6615551947010394674gmail-MsoTitle" style="text-align:center"><span style="font-size:18pt;font-family:"Times New Roman",serif">SEMINARIO
DI MATEMATICA<span></span></span></p>
<p class="gmail-m_6615551947010394674gmail-MsoTitle"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">Lunedì 20 novembre 2017</span><span style="font-size:16pt;font-family:"Times New Roman",serif"><span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">ore 14:00<span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:"Times New Roman",serif">Scuola Normale Superiore<span></span></span></u></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">Pisa<span></span></span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Aula Bianchi<span></span></span></p>
<p class="MsoNormal"><b><u><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration-line:none"> </span></span></span></u></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span class="gmail-m_6615551947010394674gmail-apple-converted-space"><b><span style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"> </span></b></span><b><span style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Jaeyoung Byeon <span></span></span></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span style="font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">(KAIST) </span></i><b><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span></span></span></i></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span> </span></span></i></p>
<pre style="text-align:center"><b><i><span lang="EN-US" style="font-size:12pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span> </span></span></i></b></pre>
<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:"Times New Roman",serif">terrà un
seminario dal titolo:<span></span></span></p>
<h1 align="center" style="text-align:center"><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:windowtext">“</span><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Single peak solutions to nonlinear Neumann problems with a nondegeneracy</span><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:windowtext">”</span><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;font-variant-numeric:normal;font-variant-caps:small-caps;color:windowtext"><span></span></span></h1>
<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif"><span> </span></span></b></p>
<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:"Times New Roman",serif">Abstract:<span></span></span></b></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US"> </span></i></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US">There
have been enormous studies on singularly perturbed nonlinear elliptic problems with
the Neumann boundary condition. As for a single peak solution which
concentrates near a point on the boundary of a given domain, its existence
for a critical point of the mean curvature and its nonexistence for the
regular point of the mean curvature were known only when a certain
nondegeneracy holds.<span></span></span></i></p>
<p style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:13.2pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US">In
this talk I would like to explain a purely variational approach to prove the
same results without the nondegeneracy.<span></span></span></i></p>
<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:"Times New Roman",serif"><span> </span></span></b></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif">Tutti gli interessati sono invitati a
partecipare.<span></span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif">Classe di Scienze Matematiche e Naturali<span class="gmail-HOEnZb"><font color="#888888"><span></span></font></span></span></p><span class="gmail-HOEnZb"><font color="#888888">
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p><div><div class="gmail-m_6615551947010394674gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
</font></span></div>
</div><br></div>
<p></p>
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